The effect of the simultaneous addition, using a melt-mixing procedure, of glass fibres (GFs) and graphene in the form of graphene nanoplatelets (GNPs) upon the properties of polypropylene (PP) has been studied in detail. Composite samples containing GFs and GNPs alone were also prepared for comparative purposes. The crystalline microstructure of the composites was characterised by X-ray diffraction (XRD), while scanning electron microscopy (SEM) was used to study the interface between the matrix and the fillers. The orientation of the glass fibres was evaluated using SEM while polarized Raman spectroscopy was utilized to determinate the orientation of the GNPs in the composite samples. The mechanical properties of the composites were evaluated by tensile testing and it was found that the Young's modulus of the hybrid material is higher than that of the materials containing the fillers individually, showing an additive effect. Raman spectroscopy employed simultaneously with deformation of the composites was used to show that there was good interfacial stress transfer between the PP matrix and the GNPs. Finally, the thermal conductivity of the materials was measured and found to be significantly higher for the composites containing GNPs alone.